Search a number
-
+
141142232233040 = 2459774237942611
BaseRepresentation
bin100000000101111000111100…
…100111010111010001010000
3200111202001202211201000220012
4200011320330213113101100
5121444433242422424130
61220103502451534052
741505122043052343
oct4005707447272120
9614661684630805
10141142232233040
1140a770a2585a75
12139b6387bba328
13609a869b7707c
1426bd46b5d045a
15114b67790b995
hex805e3c9d7450

141142232233040 has 80 divisors (see below), whose sum is σ = 328507031436480. Its totient is φ = 56396452546560.

The previous prime is 141142232233021. The next prime is 141142232233049. The reversal of 141142232233040 is 40332232241141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1411422322330402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141142232232988 and 141142232233006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142232233049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3312321335 + ... + 3312363945.

It is an arithmetic number, because the mean of its divisors is an integer number (4106337892956).

Almost surely, 2141142232233040 is an apocalyptic number.

141142232233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141142232233040 is an abundant number, since it is smaller than the sum of its proper divisors (187364799203440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141142232233040 is a wasteful number, since it uses less digits than its factorization.

141142232233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85980 (or 85974 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 141142232233040 its reverse (40332232241141), we get a palindrome (181474464474181).

The spelling of 141142232233040 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred thirty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 977 1954 3908 4885 7816 9770 15632 19540 39080 42379 42611 78160 84758 85222 169516 170444 211895 213055 339032 340888 423790 426110 678064 681776 847580 852220 1695160 1704440 3390320 3408880 41404283 41630947 82808566 83261894 165617132 166523788 207021415 208154735 331234264 333047576 414042830 416309470 662468528 666095152 828085660 832618940 1656171320 1665237880 1805811569 3312342640 3330475760 3611623138 7223246276 9029057845 14446492552 18058115690 28892985104 36116231380 72232462760 144464925520 1764277902913 3528555805826 7057111611652 8821389514565 14114223223304 17642779029130 28228446446608 35285558058260 70571116116520 141142232233040